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Finding the Fourth Proportional to 9,174.93, 13,693.07 and 8,289.20

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Solution

The fourth proportional to 9,174.93, 13,693.07 and 8,289.20 is: 12,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.93 : 13,693.07 = 8,289.20 : x
  2. Step 2: Convert to fraction form
    9,174.93/13,693.07 = 8,289.20/x
  3. Step 3: Cross multiply
    9,174.93x = 13,693.07 × 8,289.20
  4. Step 4: Simplify right side
    9,174.93x = 113,504,485.93
  5. Step 5: Solve for x
    x = 113,504,485.93/9,174.93
  6. Step 6: Final answer
    x = 12,371.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.